66518629900801 has 8 divisors (see below), whose sum is σ = 71640818953704. Its totient is φ = 61397208186240.

The previous prime is 66518629900777. The next prime is 66518629900819. The reversal of 66518629900801 is 10800992681566.

66518629900801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5116752576576 + 61401877324225 = 2262024^2 + 7835935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66518629900801 - 2⁴¹ = 64319606645249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66518629900801.

It is not an unprimeable number, because it can be changed into a prime (66518629900831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191654530 + ... + 192001291.

It is an arithmetic number, because the mean of its divisors is an integer number (8955102369213).

Almost surely, 2^{66518629900801} is an apocalyptic number.

It is an amenable number.

66518629900801 is a deficient number, since it is larger than the sum of its proper divisors (5122189052903).

66518629900801 is a wasteful number, since it uses less digits than its factorization.

66518629900801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383669171.

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 66518629900801 in words is "sixty-six trillion, five hundred eighteen billion, six hundred twenty-nine million, nine hundred thousand, eight hundred one".